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Simplifying 2(w + 6) + -4w = 22 Reorder the terms: 2(6 + w) + -4w = 22 (6 * 2 + w * 2) + -4w = 22 (12 + 2w) + -4w = 22 Combine like terms: 2w + -4w = -2w 12 + -2w = 22 Solving 12 + -2w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2w = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 22 + -12 -2w = 22 + -12 Combine like terms: 22 + -12 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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